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25 April 2024
 
  » arxiv » 1506.6458

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Gravitational resonances on $f(R)$-brane
Hao Yu ; Yuan Zhong ; Bao-Min Gu ; Yu-Xiao Liu ;
Date 22 Jun 2015
AbstractIn this paper, we investigate various $f(R)$-brane models and compare their gravitational resonance structure with the corresponding general relativity (GR)-branes. Starting from some preexisting thick brane solutions found in general relativity (GR-brane), we derive thick $f(R)$-brane solutions such that the metric, scalar field and scalar potential coincide with those of the corresponding GR-branes. We find that for branes generated by a single or two canonical scalar fields, there is no obvious distinction between the gravitational resonance structures of the GR-branes and corresponding $f(R)$-branes. Then, we discuss the branes generated by K-fields. In this case, there might exist huge difference between {the} GR-branes and $f(R)$-branes.
Source arXiv, 1506.6458
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